Answer:
x = 24
Explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 8, thus
k =
=
=
![(5)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/62hzctkrdvwpkga1dhe2u0pc9jmzxeau6d.png)
y =
x = 1.25x ← equation of variation
When y = 30
30 = 1.25x ( divide both sides by 1.25 )
x = 24